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JEE Advanced2007MathematicsCircleActual

Match the statements in Column I with the properties Column II.

Options

  1. AA-p, r; B-p, q, s; C-q, r; D-q, s
  2. BA-p; B-p, s; C-p; D-q, s
  3. CA-p, q; B-p, q; C-q, r; D-q, r
  4. DA-r, s; B-q; C-p; D-p, q, s

Correct answer

C. A-p, q; B-p, q; C-q, r; D-q, r

Step-by-step solution

(A) When two circles are intersecting they have a common normal and common tangent. (B) Two mutually extemal circles have a common normal and common tangent. (C) When one circle lies inside of other, then they have a common normal but no common tangent. (D) Two branches of a hyperbola have a common normal but no common tangent.

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